Title
Ontology as a Logic of Intensions
Abstract
We view the content of ontology via a logic of intensions. This is due to the fact that particular intensions like properties, roles, attributes and propositions can stand in mutual necessary relations which should be registered in the ontology of a given domain, unlike some contingent facts. The latter are a subject of updates and are stored in a knowledge-base state. Thus we examine (higher-order) properties of intensions like being necessarily reflexive, irreflexive, symmetric, anti-symmetric, transitive, etc., mutual relations between intensions like being incompatible, being a requisite, being complementary, and so like. We also define two kinds of entailment relation between propositions, viz. mere entailment and presupposition. Finally, we show that higher-order properties of propositions trigger necessary integrity constraints that should also be included in the ontology. As the logic of intensions we vote for Transparent Intensional Logic (TIL), because TIL framework is smoothly applicable to all three kinds of context, viz. extensional context of individuals, numbers and functions-in-extension (mappings), intensional context of properties, roles, attributes and propositions, and finally hyper-intensional context of procedures producing intensional and extensional entities as their products.
Year
DOI
Venue
2010
10.3233/978-1-60750-689-8-1
European-Japanese Conference on Information Modelling and Knowledge Bases
Keywords
Field
DocType
entailment relation,extensional context,intensional context,hyper-intensional context,higher-order property,til framework,mere entailment,extensional entity,mutual necessary relation,mutual relation
Ontology (information science),Ontology,Discrete mathematics,Process ontology,Description logic,Ontology Inference Layer,Artificial intelligence,Natural language processing,Suggested Upper Merged Ontology,Mathematics
Conference
Volume
ISSN
Citations 
225
0922-6389
0
PageRank 
References 
Authors
0.34
4
3
Name
Order
Citations
PageRank
Marie Duží15222.94
Martina Cíhalová294.02
Marek Mensík334.12